211109985 has 24 divisors (see below), whose sum is σ = 381835584. Its totient is φ = 107696160.

The previous prime is 211109981. The next prime is 211109989. The reversal of 211109985 is 589901112.

It is an interprime number because it is at equal distance from previous prime (211109981) and next prime (211109989).

It is not a de Polignac number, because 211109985 - 2² = 211109981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211109981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100951 + ... + 103020.

It is an arithmetic number, because the mean of its divisors is an integer number (15909816).

Almost surely, 2^211109985 is an apocalyptic number.

It is an amenable number.

211109985 is a deficient number, since it is larger than the sum of its proper divisors (170725599).

211109985 is a wasteful number, since it uses less digits than its factorization.

211109985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204005 (or 204002 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 211109985 is about 14529.6243929429. The cubic root of 211109985 is about 595.4376038357.

The spelling of 211109985 in words is "two hundred eleven million, one hundred nine thousand, nine hundred eighty-five".